Hom-约当三系的表示与扩张
Representation and Extension of Hom-Jordan Triple System
DOI: 10.12677/AAM.2020.97129, PDF,   
作者: 郭乐乐：辽宁师范大学数学学院，辽宁 大连
关键词: Hom-约当三系；表示；T*-扩张；Hom-Jordan Triple System； Representation； T*-Extension
摘要: 本文主要介绍了Hom-约当三系的表示与扩张。首先，给出了Hom-约当三系表示的定义、判断表示的方法以及表示的例子，同时给出Hom-约当三系的表示的对偶是表示所满足的条件。其次，找到Hom-约当三系扩张的两种方法，其一是利用一个特殊的线性函数而构造出的扩张，其二是Hom-约当三系的T*-扩张。
Abstract: This paper mainly studies the representation and extension of Hom-Jordan triple system. Firstly, we give the definition of representation of Hom-Jordan triple system, the method of judging the representation and an example of representation. At the same time, the condition that the dual of Hom-Jordan triple system is the representation is given. Secondly, two methods of extension of Hom-Jordan triple system are found. One is to construct an extension by a special linear function, and the other is the T*-extension of Hom-Jordan triple system.
文章引用：郭乐乐. Hom-约当三系的表示与扩张[J]. 应用数学进展, 2020, 9(7): 1092-1102. https://doi.org/10.12677/AAM.2020.97129

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